Question

Responder com conta letra A, B, C, D, E e F​

Answer 1

Resposta:

$a)(2^{5} *2^{-6} )^{-2} =(2^{-1})^{-2}=2^2 =4$

$b)3^5*(3^2)^{-2} =3^5*3^{-4}=3^1=3$

$c)\frac{4^{-4} }{4^{-6} } =4^{-4}*4^6=4^2=16$

$d)(\frac{5}{5^{-1}})^2 =\frac{5^2}{5^{-2} } =5^2*5^2=5^4=625$

$e)\frac{3^3*3^{-4} }{3^{-5}*3^6 } =\frac{3^{-1} }{3^1}=3^{-1}*3^{-1}=3^{-2}=\frac{1}{3^2}=\frac{1}{9}$

$f)\frac{(5^5)^5*(5^3)^3}{(5^6)^6*(5^{-2})^2 } =\frac{5^{25}*5^9 }{5^{36}*5^{-4} } =\frac{5^{34} }{5^{32} } =5^{34} *5^{-32} =5^{2} =25$

Propriedades da potenciação usadas:

$x^y*x^z=x^{y+z}$

$(x^y)^z=x^{y*z}$

$\frac{x^y}{x^z}=x^{y} *x^{-z}$